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Let f be a function, To be a point, S (x) = no (x - ro) be the Taylor series of f at To and
Let f be a function, To be a point, S (x) = no (x - ro)" be the Taylor series of f at To and R be the radius of convergence of this series. In order to apply Taylor's inequality to show that f (x) = S (x) for all x in the interval (x - R, x + R), which of the following statement is always true? O We must have the existence of a number M such that [f(N+1) (x) |
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